Digital SAT Math Problems and Solutions (Part 44)

Problem 1 :

A cargo helicopter delivers only 100-pound packages and 120-pound packages. For each delivery trip, the helicopter must carry at least 10 packages, and the total weight of the packages can be at most 1,100 pounds. What is the maximum number of 120-pound packages that the helicopter can carry per trip?

A)  2

B)  4

C)  5

D)  6

Solution :

Problem 2 :

A window repair specialist charges $220 for the first two hours of repair plus an hour fee for each additional hour. The total cost for 5 hours of repair is $400. Which function f gives the total cost, in dollars for x hours of repair, where x ≥ 2?

A)  f(x) = 60x + 100

B)  f(x) = 60x + 220

C)  f(x) = 80x

D)  80x + 220

Solution :

Problem 3 :

For line h, the table shows three values of x and their corresponding values of y. Line k is the result of translating line h down by 5 units in the xy-plane. What is the x-intercept of line k? 

Solution :

Problem 4 :

An economist modeled the demad Q for a certain product as a linear function of the selling price P. The demand was 20,000 units when the selling price was $40 per unit, and the demand was 15,000 units, when the selling price was $60 per unit. Based on the model, what is the demand, in units, when the selling price is $55 per unit?

A)  16,250

B)  16,500

C)  16,750

D)  17,500

Solution :

Problem 5 :

A certain apprentice has enrolled in 85 hours of training courses. The equation 10x + 15y = 85 represents this situation, where x is the number of on-site training courses and y is the number of online training courses this apprentice has enrolled in. How many more hours does each online training course take than each on-site training course? 

Solution :

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